English

Taming Mass Gap with Anti-de-Sitter Space

High Energy Physics - Theory 2024-03-14 v3

Abstract

Anti-de-Sitter space acts as an infra-red cut off for asymptotically free theories, allowing interpolation between a weakly-coupled small-sized regime and a strongly-coupled flat-space regime. We scrutinize the interpolation for theories in two dimensions from the perspective of boundary conformal theories. We show that the appearance of a singlet marginal operator destabilizes a gapless phase existing at a small size, triggering a boundary renormalization group flow to a gapped phase that smoothly connects to flat space. We conjecture a similar mechanism for confinement in gauge theories.

Keywords

Cite

@article{arxiv.2312.09277,
  title  = {Taming Mass Gap with Anti-de-Sitter Space},
  author = {Christian Copetti and Lorenzo Di Pietro and Ziming Ji and Shota Komatsu},
  journal= {arXiv preprint arXiv:2312.09277},
  year   = {2024}
}

Comments

13 pages, 5 figures; v2: typo corrected, reference added; v3: typos corrected

R2 v1 2026-06-28T13:51:32.518Z